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Finding the Fourth Proportional to 2,774.16, 4,161.84 and 1,042.79

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Solution

The fourth proportional to 2,774.16, 4,161.84 and 1,042.79 is: 1,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.16 : 4,161.84 = 1,042.79 : x
  2. Step 2: Convert to fraction form
    2,774.16/4,161.84 = 1,042.79/x
  3. Step 3: Cross multiply
    2,774.16x = 4,161.84 × 1,042.79
  4. Step 4: Simplify right side
    2,774.16x = 4,339,904.32
  5. Step 5: Solve for x
    x = 4,339,904.32/2,774.16
  6. Step 6: Final answer
    x = 1,564.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.